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Finding the Fourth Proportional to 31,082.60, 42,894.06 and 16,935.68

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Solution

The fourth proportional to 31,082.60, 42,894.06 and 16,935.68 is: 23,371.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,082.60 : 42,894.06 = 16,935.68 : x
  2. Step 2: Convert to fraction form
    31,082.60/42,894.06 = 16,935.68/x
  3. Step 3: Cross multiply
    31,082.60x = 42,894.06 × 16,935.68
  4. Step 4: Simplify right side
    31,082.60x = 726,440,074.06
  5. Step 5: Solve for x
    x = 726,440,074.06/31,082.60
  6. Step 6: Final answer
    x = 23,371.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.